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      Question

      a, b, c in GP; a + b + c = 21, abc = 216. Find

      numbers.
      A (3, 6, 12) Correct Answer Incorrect Answer
      B (3, 5, 11) Correct Answer Incorrect Answer
      C (1, 2, 12) Correct Answer Incorrect Answer
      D (3, 3, 9) Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let b = ar, c = arΒ² β†’ a(1 + r + rΒ²) = 21, aΒ³rΒ³ = 216 β†’ ar = 6 β†’ a = 6/r (1 + r + rΒ²)/r = 3.5 β†’ rΒ² – 2.5r + 1 = 0 β†’ r = 2 or 0.5 r = 2 β†’ a = 3 β†’ (3, 6, 12)

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